dc.contributor | http://lattes.cnpq.br/6975165037874387 | |
dc.creator | Candido, Leandro [UNIFESP] | |
dc.creator | Guzmán, Hector Hecsan Torres [UNIFESP] | |
dc.date.accessioned | 2023-07-05T17:25:04Z | |
dc.date.accessioned | 2023-09-04T19:05:44Z | |
dc.date.available | 2023-07-05T17:25:04Z | |
dc.date.available | 2023-09-04T19:05:44Z | |
dc.date.created | 2023-07-05T17:25:04Z | |
dc.date.issued | 2023-03 | |
dc.identifier | https://repositorio.unifesp.br/11600/68459 | |
dc.identifier | doi.org/10.1090/proc/16206 | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/8622676 | |
dc.description.abstract | We prove that the Lipschitz-free space over a Banach space X of density κ, denoted by F (X), is linearly isomorphic to the l 1 -sum of κ copies of F (X) . This provides an extension of a previous result from Kaufmann in the context of non-separable Banach spaces. Further, we obtain a complete classification of
the spaces of real-valued Lipschitz functions that vanish at 0 over a L p -space. More precisely, we establish that, for every 1 ≤ p ≤ ∞, if X is a L p -space of density κ, then Lip 0 (X) is either isomorphic to Lip 0 (l p (κ)) if p < ∞, or Lip 0 (c 0 (κ)) if p = ∞. | |
dc.publisher | Stephen Dilworth | |
dc.relation | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | |
dc.rights | Acesso restrito | |
dc.subject | Lipschitz-free spaces | |
dc.subject | spaces of Lipschitz functions | |
dc.subject | spaces of contin- uous functions | |
dc.title | ON LARGE l 1 -SUMS OF LIPSCHITZ-FREE SPACES AND APPLICATIONS | |
dc.type | Artigo | |